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Finding the Third Proportional to 845,457 and 1,873,206

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Solution

The third proportional to 845,457 and 1,873,206 is: 4,150,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,457 : 1,873,206 = 1,873,206 : x
  2. Step 2: Convert to fraction form
    845,457/1,873,206 = 1,873,206/x
  3. Step 3: Cross multiply
    845,457x = 1,873,206 × 1,873,206
  4. Step 4: Simplify right side
    845,457x = 3,508,900,718,436
  5. Step 5: Solve for x
    x = 3,508,900,718,436/845,457
  6. Step 6: Final answer
    x = 4,150,300.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.